Choked Mass Flow Rate Calculator

↳

⤿

✖Mass Flow Rate represents the amount of mass passing through a cross-section per unit time.ⓘ Mass Flow Rate [m]			+10% -10%
✖Specific Heat Capacity at Constant Pressure means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant pressure.ⓘ Specific Heat Capacity at Constant Pressure [C_p]			+10% -10%
✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+10% -10%
✖Nozzle Throat Area is the area of cross section at the throat of nozzle.ⓘ Nozzle Throat Area [A_throat]			+10% -10%
✖Throat Pressure is the amount of discharge pressure of an engine at a given mass flow rate through the throat of the nozzle.ⓘ Throat Pressure [P_o]			+10% -10%

✖Choked Mass Flow Rate refers to the maximum mass flow rate of a compressible fluid through a restricted flow area, reaching the critical sonic conditions.ⓘ Choked Mass Flow Rate [ṁ_choke]

⎘ Copy

👎

Formula

✖

Choked Mass Flow Rate

Formula

`"ṁ"_{"choke"} = ("m"*sqrt("C"_{"p"}*"T"))/("A"_{"throat"}*"P"_{"o"})`

Example

`"1.278959"=("5kg/s"*sqrt("1005J/(kg*K)"*"298.15K"))/("21.4m²"*"100Pa")`

Calculator

LaTeX

Reset

👍

Download Thermodynamics and Governing Equations Formulas PDF

Choked Mass Flow Rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Choked Mass Flow Rate = (Mass Flow Rate*sqrt(Specific Heat Capacity at Constant Pressure*Temperature))/(Nozzle Throat Area*Throat Pressure)
ṁ_choke = (m*sqrt(C_p*T))/(A_throat*P_o)
This formula uses 1 Functions, 6 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Choked Mass Flow Rate - Choked Mass Flow Rate refers to the maximum mass flow rate of a compressible fluid through a restricted flow area, reaching the critical sonic conditions.
Mass Flow Rate - (Measured in Kilogram per Second) - Mass Flow Rate represents the amount of mass passing through a cross-section per unit time.
Specific Heat Capacity at Constant Pressure - (Measured in Joule per Kilogram per K) - Specific Heat Capacity at Constant Pressure means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant pressure.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Nozzle Throat Area - (Measured in Square Meter) - Nozzle Throat Area is the area of cross section at the throat of nozzle.
Throat Pressure - (Measured in Pascal) - Throat Pressure is the amount of discharge pressure of an engine at a given mass flow rate through the throat of the nozzle.

STEP 1: Convert Input(s) to Base Unit

Mass Flow Rate: 5 Kilogram per Second --> 5 Kilogram per Second No Conversion Required
Specific Heat Capacity at Constant Pressure: 1005 Joule per Kilogram per K --> 1005 Joule per Kilogram per K No Conversion Required
Temperature: 298.15 Kelvin --> 298.15 Kelvin No Conversion Required
Nozzle Throat Area: 21.4 Square Meter --> 21.4 Square Meter No Conversion Required
Throat Pressure: 100 Pascal --> 100 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ṁ_choke = (m*sqrt(C_p*T))/(A_throat*P_o) --> (5*sqrt(1005*298.15))/(21.4*100)

Evaluating ... ...

ṁ_choke = 1.27895913641433

STEP 3: Convert Result to Output's Unit

1.27895913641433 --> No Conversion Required

FINAL ANSWER

1.27895913641433 ≈ 1.278959 <-- Choked Mass Flow Rate

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Aeroengines » Thermodynamics and Governing Equations » Choked Mass Flow Rate

Credits

Created by Shreyash

Rajiv Gandhi Institute of Technology (RGIT), Mumbai

Shreyash has created this Calculator and 10+ more calculators!

Verified by Kartikay Pandit

National Institute Of Technology (NIT), Hamirpur

Kartikay Pandit has verified this Calculator and 400+ more calculators!

< 19 Thermodynamics and Governing Equations Calculators

Max work output in Brayton cycle

Go Maximum Work done in Brayton Cycle = (1005*1/Compressor Efficiency)*Temperature at Inlet of Compressor in Brayton*(sqrt(Temperature at Inlet to Turbine in Brayton Cycle/Temperature at Inlet of Compressor in Brayton*Compressor Efficiency*Turbine Efficiency)-1)^2

Choked Mass Flow Rate given specific heat ratio

Go Choked Mass Flow Rate = (Heat Capacity Ratio/(sqrt(Heat Capacity Ratio-1)))*((Heat Capacity Ratio+1)/2)^(-((Heat Capacity Ratio+1)/(2*Heat Capacity Ratio-2)))

Choked Mass Flow Rate

Go Choked Mass Flow Rate = (Mass Flow Rate*sqrt(Specific Heat Capacity at Constant Pressure*Temperature))/(Nozzle Throat Area*Throat Pressure)

Stagnation Velocity of Sound given Specific Heat at Constant Pressure

Go Stagnation Velocity of Sound = sqrt((Heat Capacity Ratio-1)*Specific Heat Capacity at Constant Pressure*Stagnation Temperature)

Specific Heat of mixed out gas

Go Specific Heat of Mixed Gas = (Specific Heat of Core Gas+Bypass Ratio*Specific Heat of Bypass Air)/(1+Bypass Ratio)

Stagnation Temperature

Go Stagnation Temperature = Static Temperature+(Flow Velocity Downstream of Sound^2)/(2*Specific Heat Capacity at Constant Pressure)

Stagnation Velocity of Sound

Go Stagnation Velocity of Sound = sqrt(Heat Capacity Ratio*[R]*Stagnation Temperature)

Speed of Sound

Go Speed of Sound = sqrt(Specific Heat Ratio*[R-Dry-Air]*Static Temperature)

Stagnation Velocity of Sound given Stagnation Enthalpy

Go Stagnation Velocity of Sound = sqrt((Heat Capacity Ratio-1)*Stagnation Enthalpy)

Heat Capacity Ratio

Go Heat Capacity Ratio = Specific Heat Capacity at Constant Pressure/Specific Heat Capacity at Constant Volume

Efficiency of cycle

Go Efficiency of Cycle = (Turbine Work-Compressor Work)/Heat

Internal Energy of Perfect Gas at given Temperature

Go Internal Energy = Specific Heat Capacity at Constant Volume*Temperature

Enthalpy of Ideal Gas at given Temperature

Go Enthalpy = Specific Heat Capacity at Constant Pressure*Temperature

Stagnation enthalpy

Go Stagnation Enthalpy = Enthalpy+(Velocity of Fluid Flow^2)/2

Efficiency of Joule cycle

Go Efficiency of Joule Cycle = Net Work Output/Heat

Pressure Ratio

Go Pressure Ratio = Final Pressure/Initial Pressure

Work ratio in practical cycle

Go Work Ratio = 1-(Compressor Work/Turbine Work)

Mach Number

Go Mach Number = Speed of Object/Speed of Sound

Mach Angle

Go Mach Angle = asin(1/Mach Number)

Choked Mass Flow Rate Formula

Choked Mass Flow Rate = (Mass Flow Rate*sqrt(Specific Heat Capacity at Constant Pressure*Temperature))/(Nozzle Throat Area*Throat Pressure)
ṁ_choke = (m*sqrt(C_p*T))/(A_throat*P_o)

What is Mass Flow Rate?

The amount of mass that flows through an area in a given amount of time is known as the mass flow rate. It is a measurement of the velocity at which gases and liquids pass through a specified area. It is an important factor that determines the amount of thrust produced.

How to Calculate Choked Mass Flow Rate?

Choked Mass Flow Rate calculator uses Choked Mass Flow Rate = (Mass Flow Rate*sqrt(Specific Heat Capacity at Constant Pressure*Temperature))/(Nozzle Throat Area*Throat Pressure) to calculate the Choked Mass Flow Rate, Choked Mass Flow Rate formula is used to determine the amount of maximum mass flowing through the nozzle from the exhaust of an engine. It is observed when the Mach number is equal to 1 and this condition is known as the choking of flow. Choked Mass Flow Rate is denoted by ṁ_choke symbol.

How to calculate Choked Mass Flow Rate using this online calculator? To use this online calculator for Choked Mass Flow Rate, enter Mass Flow Rate (m), Specific Heat Capacity at Constant Pressure (C_p), Temperature (T), Nozzle Throat Area (A_throat) & Throat Pressure (P_o) and hit the calculate button. Here is how the Choked Mass Flow Rate calculation can be explained with given input values -> 1.278959 = (5*sqrt(1005*298.15))/(21.4*100).

FAQ

What is Choked Mass Flow Rate?

Choked Mass Flow Rate formula is used to determine the amount of maximum mass flowing through the nozzle from the exhaust of an engine. It is observed when the Mach number is equal to 1 and this condition is known as the choking of flow and is represented as ṁ_choke = (m*sqrt(C_p*T))/(A_throat*P_o) or Choked Mass Flow Rate = (Mass Flow Rate*sqrt(Specific Heat Capacity at Constant Pressure*Temperature))/(Nozzle Throat Area*Throat Pressure). Mass Flow Rate represents the amount of mass passing through a cross-section per unit time, Specific Heat Capacity at Constant Pressure means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant pressure, Temperature is the degree or intensity of heat present in a substance or object, Nozzle Throat Area is the area of cross section at the throat of nozzle & Throat Pressure is the amount of discharge pressure of an engine at a given mass flow rate through the throat of the nozzle.

How to calculate Choked Mass Flow Rate?

Choked Mass Flow Rate formula is used to determine the amount of maximum mass flowing through the nozzle from the exhaust of an engine. It is observed when the Mach number is equal to 1 and this condition is known as the choking of flow is calculated using Choked Mass Flow Rate = (Mass Flow Rate*sqrt(Specific Heat Capacity at Constant Pressure*Temperature))/(Nozzle Throat Area*Throat Pressure). To calculate Choked Mass Flow Rate, you need Mass Flow Rate (m), Specific Heat Capacity at Constant Pressure (C_p), Temperature (T), Nozzle Throat Area (A_throat) & Throat Pressure (P_o). With our tool, you need to enter the respective value for Mass Flow Rate, Specific Heat Capacity at Constant Pressure, Temperature, Nozzle Throat Area & Throat Pressure and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Choked Mass Flow Rate?

In this formula, Choked Mass Flow Rate uses Mass Flow Rate, Specific Heat Capacity at Constant Pressure, Temperature, Nozzle Throat Area & Throat Pressure. We can use 1 other way(s) to calculate the same, which is/are as follows -

Choked Mass Flow Rate = (Heat Capacity Ratio/(sqrt(Heat Capacity Ratio-1)))*((Heat Capacity Ratio+1)/2)^(-((Heat Capacity Ratio+1)/(2*Heat Capacity Ratio-2)))

Home

FREE PDFs

🔍 Search